List questions from alternative-proof

Published on 13 Apr 2026 - 6:21

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Alternative proof of the Fibonacci property $\sum\limits_{j=n}^{n+9}F_j=11\cdot F_{n+6}.$

Published on 16 Apr 2026 - 23:05

186

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Let $U \subset S^n$ open subset of the sphere homeomorphic to $\mathbb{R}^n$ prove that $\mathbb{S}^n \setminus U$ is connected

Published on 16 Apr 2026 - 8:56

139

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Find all real numbers $x$ such that $\sqrt{x+2\sqrt{x}-1}+\sqrt{x-2\sqrt{x}-1}$ is a real number

Published on 16 Apr 2026 - 22:51

154

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Strong Induction proof : $x_k = 1/2(x_{k+1}+x_{k-1})-1$ holds for all integers $k∈Z_{≥0}$

Published on 15 Apr 2026 - 0:48

53

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$S \neq R^n$ or $\emptyset \implies \partial S \neq \emptyset$

Published on 16 Apr 2026 - 20:58

82

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Deduction in PA that irreducible implies prime

Published on 25 Mar 2026 - 14:27

56

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Slick argument to find free group in $SO(4)$

Published on 14 Apr 2026 - 13:14

100

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Prove that if $G$ is a finite simple group containing a subgroup $H$ of order $27$, then $|G : H| \ge 9.$

Published on 17 Apr 2026 - 16:01

199

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$\operatorname{Aut}(G)$ construction is not functorial

Published on 14 Apr 2026 - 16:59

92

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How to prove the following using invariants?

Published on 09 Apr 2026 - 3:33

54

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Holomorphicity of $\sin(\theta)\cos(\theta)+i\cos(\theta)^2$ imply that $\theta$ is constant

Published on 16 Apr 2026 - 9:04

23

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Let $E$ an $\mathbb{R}$-vectorial space and $f : E \rightarrow E $ an endomorphism. Prove that...

Published on 15 Apr 2026 - 14:18

777

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Binomial theorem from first principles?

Published on 11 Apr 2026 - 4:34

102

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Intuitive proof for $(a, b) = (a', b')$.

Published on 14 Apr 2026 - 6:34

List Question

Understand if my proof is fallacious.

Alternative proof of the Fibonacci property $\sum\limits_{j=n}^{n+9}F_j=11\cdot F_{n+6}.$

Let $U \subset S^n$ open subset of the sphere homeomorphic to $\mathbb{R}^n$ prove that $\mathbb{S}^n \setminus U$ is connected

Find all real numbers $x$ such that $\sqrt{x+2\sqrt{x}-1}+\sqrt{x-2\sqrt{x}-1}$ is a real number

Strong Induction proof : $x_k = 1/2(x_{k+1}+x_{k-1})-1$ holds for all integers $k∈Z_{≥0}$

$S \neq R^n$ or $\emptyset \implies \partial S \neq \emptyset$

Deduction in PA that irreducible implies prime

Slick argument to find free group in $SO(4)$

Prove that if $G$ is a finite simple group containing a subgroup $H$ of order $27$, then $|G : H| \ge 9.$

$\operatorname{Aut}(G)$ construction is not functorial

How to prove the following using invariants?

Holomorphicity of $\sin(\theta)\cos(\theta)+i\cos(\theta)^2$ imply that $\theta$ is constant

Let $E$ an $\mathbb{R}$-vectorial space and $f : E \rightarrow E $ an endomorphism. Prove that...

Binomial theorem from first principles?

Intuitive proof for $(a, b) = (a', b')$.

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